GCD of 825, 819, 91, 289 Calculator

Given Input numbers are 825, 819, 91, 289

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Greatest Common Divisior

We found the divisors of 825, 819, 91, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 819, 91, 289 is 1.

Therefore, GCD of numbers 825, 819, 91, 289 is 1

Given Input Data is 825, 819, 91, 289

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 91 is 7 x 13

Prime Factorization of 289 is 17 x 17

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(825, 819) = 225225

GCD(825, 819) = ( 825 x 819 ) / 225225

GCD(825, 819) = 675675 / 225225

GCD(825, 819) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 91

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 91) = 273

GCD(3, 91) = ( 3 x 91 ) / 273

GCD(3, 91) = 273 / 273

GCD(3, 91) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 289

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

GCD(1, 289) = 289 / 289

GCD(1, 289) = 1

GCD of 825, 819, 91, 289 is 1

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1. What is the GCD of 825, 819, 91, 289?

GCD of 825, 819, 91, 289 is 1

2. Where do I get the detailed procedure to find GCD of 825, 819, 91, 289?

You can find a detailed procedure to find GCD of 825, 819, 91, 289 on our page.

3. How to find GCD of 825, 819, 91, 289 on a calculator?

You can find the GCD of 825, 819, 91, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.